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Finding the Fourth Proportional to 5,193.44, 7,785.53 and 1,905.77

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Solution

The fourth proportional to 5,193.44, 7,785.53 and 1,905.77 is: 2,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.44 : 7,785.53 = 1,905.77 : x
  2. Step 2: Convert to fraction form
    5,193.44/7,785.53 = 1,905.77/x
  3. Step 3: Cross multiply
    5,193.44x = 7,785.53 × 1,905.77
  4. Step 4: Simplify right side
    5,193.44x = 14,837,453.74
  5. Step 5: Solve for x
    x = 14,837,453.74/5,193.44
  6. Step 6: Final answer
    x = 2,856.96

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